Pith Number

pith:LE3XERSR

pith:2016:LE3XERSRDB2TSO4HBXKPO47XCU

not attested not anchored not stored refs pending

On the Abundance of Extreme Voids II: A Survey of Void Mass Functions

Matthew Hunt, Siri Chongchitnan

arxiv:1612.09333 v3 · 2016-12-29 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LE3XERSRDB2TSO4HBXKPO47XCU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:47:19.971101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59377246511875393b870dd4f773f7152d6972c5231e05d4d07b4d837d6a0b7d

Aliases

arxiv: 1612.09333 · arxiv_version: 1612.09333v3 · doi: 10.48550/arxiv.1612.09333 · pith_short_12: LE3XERSRDB2T · pith_short_16: LE3XERSRDB2TSO4H · pith_short_8: LE3XERSR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LE3XERSRDB2TSO4HBXKPO47XCU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 59377246511875393b870dd4f773f7152d6972c5231e05d4d07b4d837d6a0b7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfd2d3c42b458b12484ac571ea022b6389469a6d6d115cd363ad85497a2ddde6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-12-29T22:20:22Z",
    "title_canon_sha256": "21c358e7f964fc65e3e3d667dffc564dcde1e2aa832e68bb0b09c18b3c7c4e74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09333",
    "kind": "arxiv",
    "version": 3
  }
}